The Marist Football Team plays home and away matches in a weekend league that comprises 14 teams. The dot diagram below represents the total number of goals scored in these matches.
Johnson said that the modal and median number of goals scored are the same. Do you agree with Johnson? Explain your answer.[1]
Johnson did not include all the 3 matches which ended goalless, as he reckoned that there are zero goals anyway. He calculated the mean number of goals scored as:
\(\text{Mean}=\dfrac{(1\times2)+(2\times5)+(3\times8)+(4\times5)+(5\times2)+(6\times1)}{2+5+8+5+2+1}=3.13\text{ (3 s.f.)}\)
Do you agree with his method of computation? Explain your answer.[1]